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Kadomtsev–Petviashvili equation for acoustic wave in quantum pair plasmas

Published online by Cambridge University Press:  13 June 2011

S. MAHMOOD
Affiliation:
Theoretical Plasma Physics Division (TPPD), PINSTECH P.O. Nilore, Islamabad 44000, Pakistan ([email protected], [email protected]) National Centre for Physics, Quaid-i-Azam University Campus, Islamabad 44000, Pakistan
N. AKHTAR
Affiliation:
Theoretical Plasma Physics Division (TPPD), PINSTECH P.O. Nilore, Islamabad 44000, Pakistan ([email protected], [email protected])
S. A. KHAN
Affiliation:
National Centre for Physics, Quaid-i-Azam University Campus, Islamabad 44000, Pakistan

Abstract

The Kadomtsev–Petviashvili equation is derived for two-dimensional propagations of electrostatic solitons in unmagnetized dense pair-plasmas. The reductive perturbation method is employed and two-dimensional electrostatic potential hump structures are obtained. The conditions for a stable two-dimensional solitary structure are discussed using energy consideration method. The numerical results are also presented by considering the parameters for the outer layers of white dwarfs/neutron stars.

Type
Papers
Copyright
Copyright © Cambridge University Press 2011

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